What is 488/1600 Simplified? (Reduce 488/1600 to Lowest Terms: 61/200)

Exact Answer

488/1600 = 61/200

Simplified Fraction

61/200

Mixed Number

Proper (61/200)

Decimal Value

0.305

Percentage

30.5%

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Step-by-Step Solution: 488/1600 = 61/200

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 488: 1, 2, 4, 8, 61, 122, 244, 488
• Factors of 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160

GCD(488, 1600) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (488) and denominator (1600) by 8.

488 ÷ 8/1600 ÷ 8 = 61/200

Visual Representation

The diagram below illustrates Simplify 488/1600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`61/200`
Mixed Number Form	`61/200`
Decimal Form	`0.305`
Percentage	`30.5%`

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Frequently Asked Questions

What is 488/1600 in simplest form?

488/1600 simplified to lowest terms is 61/200.

What is the GCD (GCF) of 488 and 1600?

The Greatest Common Divisor (GCD) of 488 and 1600 is 8.

What are equivalent fractions to 488/1600?

Equivalent fractions to 488/1600 include 122/400, 183/600, and 244/800.